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4270968 = 2335133
BaseRepresentation
bin10000010010101101111000
322000222200000
4100102231320
52043132333
6231313000
751205542
oct20225570
98028600
104270968
112457929
12151b760
13b67000
147d2692
15595713
hex412b78

4270968 has 96 divisors (see below), whose sum is σ = 12994800. Its totient is φ = 1314144.

The previous prime is 4270957. The next prime is 4270969. The reversal of 4270968 is 8690724.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328530 + ... + 328542.

Almost surely, 24270968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4270968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497400).

4270968 is an abundant number, since it is smaller than the sum of its proper divisors (8723832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4270968 is an equidigital number, since it uses as much as digits as its factorization.

4270968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4270968 is about 2066.6320427207. The cubic root of 4270968 is about 162.2465381980.

The spelling of 4270968 in words is "four million, two hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 243 312 324 338 351 468 486 507 648 676 702 936 972 1014 1053 1352 1404 1521 1944 2028 2106 2197 2808 3042 3159 4056 4212 4394 4563 6084 6318 6591 8424 8788 9126 12168 12636 13182 13689 17576 18252 19773 25272 26364 27378 36504 39546 41067 52728 54756 59319 79092 82134 109512 118638 158184 164268 177957 237276 328536 355914 474552 533871 711828 1067742 1423656 2135484 4270968